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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM318+1 : TPTP v9.2.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.TCTI575H25 true

% Computer : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Oct  2 04:46:09 PM UTC 2025

% Result   : Theorem 1.02s 0.84s
% Output   : Refutation 1.02s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   12 (   9 unt;   0 typ;   0 def)
%            Number of atoms       :   17 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   65 (   6   ~;   3   |;   1   &;  54   @)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   8 usr;   4 con; 0-3 aty)
%            Number of variables   :    7 (   0   ^;   7   !;   0   ?;   7   :)

% Comments : 
%------------------------------------------------------------------------------
thf(rdnn_type,type,
    rdnn: $i > $i ).

thf(rdn_pos_type,type,
    rdn_pos: $i > $i ).

thf(rdn_neg_type,type,
    rdn_neg: $i > $i ).

thf(n5_type,type,
    n5: $i ).

thf(n0_type,type,
    n0: $i ).

thf(rdn_translate_type,type,
    rdn_translate: $i > $i > $o ).

thf(nn5_type,type,
    nn5: $i ).

thf(sum_type,type,
    sum: $i > $i > $i > $o ).

thf(sum_n5_nn5_n0,conjecture,
    sum @ n5 @ nn5 @ n0 ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( sum @ n5 @ nn5 @ n0 ),
    inference('cnf.neg',[status(esa)],[sum_n5_nn5_n0]) ).

thf(zip_derived_cl140,plain,
    ~ ( sum @ n5 @ nn5 @ n0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(rdn5,axiom,
    rdn_translate @ n5 @ ( rdn_pos @ ( rdnn @ n5 ) ) ).

thf(zip_derived_cl5,plain,
    rdn_translate @ n5 @ ( rdn_pos @ ( rdnn @ n5 ) ),
    inference(cnf,[status(esa)],[rdn5]) ).

thf(sum_entry_point_posx_negx,axiom,
    ! [POS_X: $i,NEG_X: $i,RDN_X: $i] :
      ( ( ( rdn_translate @ POS_X @ ( rdn_pos @ RDN_X ) )
        & ( rdn_translate @ NEG_X @ ( rdn_neg @ RDN_X ) ) )
     => ( sum @ POS_X @ NEG_X @ n0 ) ) ).

thf(zip_derived_cl30,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sum @ X0 @ X1 @ n0 )
      | ~ ( rdn_translate @ X0 @ ( rdn_pos @ X2 ) )
      | ~ ( rdn_translate @ X1 @ ( rdn_neg @ X2 ) ) ),
    inference(cnf,[status(esa)],[sum_entry_point_posx_negx]) ).

thf(zip_derived_cl500,plain,
    ! [X0: $i] :
      ( ~ ( rdn_translate @ X0 @ ( rdn_neg @ ( rdnn @ n5 ) ) )
      | ( sum @ n5 @ X0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl30]) ).

thf(zip_derived_cl513,plain,
    ~ ( rdn_translate @ nn5 @ ( rdn_neg @ ( rdnn @ n5 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl140,zip_derived_cl500]) ).

thf(rdnn5,axiom,
    rdn_translate @ nn5 @ ( rdn_neg @ ( rdnn @ n5 ) ) ).

thf(zip_derived_cl10,plain,
    rdn_translate @ nn5 @ ( rdn_neg @ ( rdnn @ n5 ) ),
    inference(cnf,[status(esa)],[rdnn5]) ).

thf(zip_derived_cl514,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl513,zip_derived_cl10]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : NUM318+1 : TPTP v9.2.0. Released v3.1.0.
% 0.06/0.12  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.TCTI575H25 true
% 0.11/0.33  % Computer : n007.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Wed Oct  1 16:22:53 EDT 2025
% 0.11/0.33  % CPUTime  : 
% 0.11/0.33  % Running portfolio for 300 s
% 0.11/0.33  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.33  % Number of cores: 8
% 0.11/0.34  % Python version: Python 3.6.8
% 0.11/0.34  % Running in FO mode
% 0.17/0.59  % Total configuration time : 435
% 0.17/0.59  % Estimated wc time : 1092
% 0.17/0.59  % Estimated cpu time (7 cpus) : 156.0
% 0.17/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.88/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.88/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.96/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.96/0.83  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.02/0.84  % Solved by fo/fo3_bce.sh.
% 1.02/0.84  % BCE start: 141
% 1.02/0.84  % BCE eliminated: 6
% 1.02/0.84  % PE start: 135
% 1.02/0.84  logic: eq
% 1.02/0.84  % PE eliminated: 0
% 1.02/0.84  % done 35 iterations in 0.050s
% 1.02/0.84  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.02/0.84  % SZS output start Refutation
% See solution above
% 1.02/0.84  
% 1.02/0.84  
% 1.02/0.84  % Terminating...
% 1.23/1.05  % Runner terminated.
% 1.27/1.06  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------